There is no reason why you can't do both petitions on the same day as far as I am aware.
Sharing from experiences of dealing with debt
The greatness of a man is not in how much wealth he acquires, but in his integrity and his ability to affect those around him positively.
Bob Marley. http://kallis3.blogs.iva.co.uk
There is no such thing as a joint bankruptcy, unless you are trading as a partnership in which case you could file a combined petition - but you would also probably need individual proceedings as well to deal with the separate estates.
Most married couples do their filing on the same day. You will have separate in interviews with the OR, but the cases are likely to be dealt with on a collective basis - especially if there are no assets at risk.
